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Finding the Fourth Proportional to 24,213, 33,415.76 and 14,783.39

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Solution

The fourth proportional to 24,213, 33,415.76 and 14,783.39 is: 20,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213 : 33,415.76 = 14,783.39 : x
  2. Step 2: Convert to fraction form
    24,213/33,415.76 = 14,783.39/x
  3. Step 3: Cross multiply
    24,213x = 33,415.76 × 14,783.39
  4. Step 4: Simplify right side
    24,213x = 493,998,082.11
  5. Step 5: Solve for x
    x = 493,998,082.11/24,213
  6. Step 6: Final answer
    x = 20,402.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.